51924320 has 144 divisors (see below), whose sum is σ = 147374640. Its totient is φ = 17224704.

The previous prime is 51924319. The next prime is 51924337. The reversal of 51924320 is 2342915.

It is a super-2 number, since 2×51924320² = 5392270014924800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51924320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289991 + ... + 290169.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435).

Almost surely, 2^51924320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73687320).

51924320 is an abundant number, since it is smaller than the sum of its proper divisors (95450320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51924320 is a wasteful number, since it uses less digits than its factorization.

51924320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 51924320 is about 7205.8531764115. The cubic root of 51924320 is about 373.0699531224.

The spelling of 51924320 in words is "fifty-one million, nine hundred twenty-four thousand, three hundred twenty".